Abstract
Over the past decade, the discrete-ordinate method has been used by a number of researchers to solve multidimensional radiation transport problems in the field of engineering heat transfer. The method is based on a discrete representation for the angular variation in the radiation intensity. The angular quadrature is arbitrary, although restrictions arise from the need to preserve symmetries and invariance properties of the physical system. Moment-matching, completely symmetric quadratures are frequently selected because of their generality. However, some quadratures do not match half-range moments, in particular the half-range first moment which is related to the one-way radiation flux. It is the purpose of this note to point out that low-order discrete-ordinate solutions of the transport equation may be significantly improved when the quadrature is chosen to match the half-range first moment. These improvements are illustrated for the specific case of radiation in a two-dimensional rectangular enclosure, examined recently by Fiveland.
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